Moving out of Missouri is easy. Stopping Missouri taxes is a different act, and it happens on paper: Missouri keeps treating you as a resident until the record shows otherwise.
On the burden of showing otherwise: The departure exception is conjunctive — each of its three elements has to appear in the year's record, and the individual asserting nonresident status supplies them on Form MO-NRI.
Two tests decide it. Cross 183 days with a Missouri abode still available and you are taxed as a resident regardless of where you claim to live — and see day-counting rules. Or keep the day count clean but leave the life-pattern evidence pointing at Missouri, and domicile does the same work. Everything on this page exists to answer one question: if DOR asks, does your record hold?